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Finding the Fourth Proportional to 231.28, 347.02 and 213.86

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Solution

The fourth proportional to 231.28, 347.02 and 213.86 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.28 : 347.02 = 213.86 : x
  2. Step 2: Convert to fraction form
    231.28/347.02 = 213.86/x
  3. Step 3: Cross multiply
    231.28x = 347.02 × 213.86
  4. Step 4: Simplify right side
    231.28x = 74,214.03
  5. Step 5: Solve for x
    x = 74,214.03/231.28
  6. Step 6: Final answer
    x = 320.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.